Theorems · Theorem · category theory

CategoryTheory.Equivalence.functor_unit_comp

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  (e : C ≌ D) (X : C),
  CategoryTheory.CategoryStruct.comp (e.functor.map (e.unit.app X)) (e.counit.app (e.functor.obj X)) =
    CategoryTheory.CategoryStruct.id (e.functor.obj X)

Defined in

Mathlib.CategoryTheory.Equivalence

Cited by

6 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category